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It is well-recognized that granular media under rapid flow conditions can be modeled as a gas of hard spheres with inelastic collisions. At moderate densities, a fundamental basis for the determination of the granular hydrodynamics is…

Soft Condensed Matter · Physics 2022-06-15 Moisés García Chamorro , Rubén Gómez González , Vicente Garzó

We derive the first and second-order expressions for the shear, the bulk viscosity, and the thermal conductivity of a relativistic hot boson gas in a magnetic field using the relativistic kinetic theory within the Chapman-Enskog method. The…

Nuclear Theory · Physics 2022-10-12 Utsab Gangopadhyaya , Victor Roy

The homogeneous state of a granular flow of smooth inelastic hard spheres or disks described by the Enskog-Boltzmann kinetic equation is analyzed. The granular gas is fluidized by the presence of a random force and a drag force. The…

Statistical Mechanics · Physics 2015-06-16 Moisés G. Chamorro , Francisco Vega Reyes , Vicente Garzó

The Enskog-Landau kinetic equation is considered to describe non-equilibrium processes of a mixture of charged hard spheres. This equation has been obtained in our previous papers by means of the non-equilibrium statistical operator method.…

Plasma Physics · Physics 2007-05-23 A. E. Kobryn , M. V. Tokarchuk , Y. A. Humenyuk

We investigate the transport of a single excitation through a chain of weakly coupled subunits. At both ends the chain is exposed to baths which are incorporated by means of a master equation in Lindblad form. This master equation is solved…

Statistical Mechanics · Physics 2009-07-15 Robin Steinigeweg , Marcel Ogiewa , Jochen Gemmer

An overview of recent results pertaining to the hydrodynamic description (both Newtonian and non-Newtonian) of granular gases described by the Boltzmann equation for inelastic Maxwell models is presented. The use of this mathematical model…

Soft Condensed Matter · Physics 2011-08-30 V. Garzó , A. Santos

In a recent publication [Phys. Rev. E \textbf{83}, 011301 (2011)], Vollmayr--Lee \emph{et al.} have determined by computer simulations the thermal diffusivity and the longitudinal viscosity coefficients of a driven granular fluid of hard…

Statistical Mechanics · Physics 2015-05-28 Vicente Garzó

Hydrodynamic transport coefficients may be evaluated from first principles in a weakly coupled scalar field theory at arbitrary temperature. In a theory with cubic and quartic interactions, the infinite class of diagrams which contribute to…

High Energy Physics - Phenomenology · Physics 2009-10-28 Sangyong Jeon

The homogeneous state of a binary mixture of smooth inelastic hard disks or spheres is analyzed. The mixture is driven by a thermostat composed by two terms: a stochastic force and a drag force proportional to the particle velocity. The…

Statistical Mechanics · Physics 2014-04-24 Nagi Khalil , Vicente Garzó

Granular systems confined in a shallow box and driven by vertical vibration provide a simple geometry to study fluidized granular media. Grains gain kinetic energy vertically through collisions with the walls and redistribute it…

Soft Condensed Matter · Physics 2026-04-21 Ricardo Brito , Rodrigo Soto , Vicente Garzó

A granular gas composed of inelastic hard spheres or disks in the homogeneous cooling state is considered. Some of the particles are labeled and their number density exhibits a time-independent linear profile along a given direction. As a…

Statistical Mechanics · Physics 2015-06-18 J. Javier Brey , M. J. Ruiz-Montero

The shear and the bulk viscosities of the hadron gas at low temperatures are studied in the model with constant elastic cross sections being relativistic generalization of the hard spheres model. One effective radius ${r=0.4 fm}$ is chosen…

High Energy Physics - Phenomenology · Physics 2015-03-19 Oleg N. Moroz

Starting from the Boltzmann-Enskog kinetic equations, the charge transport equation for bidisperse granular flows with contact electrification is derived with separate mean velocities, total kinetic energies, charges and charge variances…

Fluid Dynamics · Physics 2021-09-29 Lise Ceresiat , Jari Kolehmainen , Ali Ozel

The transport coefficients for dilute granular gases of inelastic and rough hard disks or spheres with constant coefficients of normal ($\alpha$) and tangential ($\beta$) restitution are obtained in a unified framework as functions of the…

Soft Condensed Matter · Physics 2021-09-14 Alberto Megías , Andrés Santos

In the present work, we deal with a binary mixture of diluted relativistic gases within the framework of the kinetic theory. The analysis is made within the framework of the Boltzmann equation. We assume that the gas is under the influence…

Statistical Mechanics · Physics 2016-12-14 Valdemar Moratto , Gilberto M. Kremer

A study of the transport coefficients of a system of elastic hard disks, based on the use of Helfand-Einstein expressions is reported. The self-diffusion, the viscosity, and the heat conductivity are examined with averaging techniques…

Statistical Mechanics · Physics 2016-08-16 Ramón García-Rojo , Stefan Luding , J. Javier Brey

We compute the transport coefficients (drag and momentum diffusion) of the low-lying heavy baryons $\Lambda_c$ and $\Lambda_b$ in a medium of light mesons formed at the later stages of high-energy heavy-ion collisions. We employ the…

High Energy Physics - Phenomenology · Physics 2016-08-17 Laura Tolos , Juan M. Torres-Rincon , Santosh K. Das

A peculiarity of the hydrodynamic Navier-Stokes equations for a granular gas is the modification of the Fourier law, with the presence of an additional contribution to the heat flux that is proportional to the density gradient.…

Statistical Mechanics · Physics 2015-06-11 J. Javier Brey , M. J. Ruiz-Montero

Mass transport of impurities immersed in a confined quasi-two-dimensional moderately dense granular gas of inelastic hard spheres is studied. The effect of the confinement on granular particles is modeled through a collisional model (the…

Soft Condensed Matter · Physics 2024-12-31 Rubén Gómez González , Vicente Garzó , Ricardo Brito , Rodrigo Soto

Non-Newtonian transport properties of a dilute gas of inelastic hard spheres immersed in a molecular gas are determined. We assume that the granular gas is sufficiently rarefied and hence, the state of the molecular gas is not disturbed by…

Soft Condensed Matter · Physics 2024-06-05 Rubén Gómez González , Moisés García Chamorro , Vicente Garzó